Archivio Istituzionale della RicercaWe develop an integer valued degree theory for quasilinear Fredholm maps. This class of maps is large enough so we can place in this framework all fully nonlinear elliptic boundary value problems with smooth enough coefficients. We use the degree theory in order to obtain multiplicity and bifurcation results for solutions of nonlinear BVP.
Orientation and the Leray-Schauder theory for fully nonlinear elliptic boundary value problems / Pejsachowicz, Jacobo; Fitzpatrick, P. M.. - In: MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0065-9266. - 101:483(1993), pp. 1-129.
Orientation and the Leray-Schauder theory for fully nonlinear elliptic boundary value problems.
PEJSACHOWICZ, JACOBO;
1993
Abstract
We develop an integer valued degree theory for quasilinear Fredholm maps. This class of maps is large enough so we can place in this framework all fully nonlinear elliptic boundary value problems with smooth enough coefficients. We use the degree theory in order to obtain multiplicity and bifurcation results for solutions of nonlinear BVP.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
https://hdl.handle.net/11583/1403888
Attenzione
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo